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Finding the Fourth Proportional to 5,237.48, 7,856.04 and 1,341.74

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Solution

The fourth proportional to 5,237.48, 7,856.04 and 1,341.74 is: 2,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.48 : 7,856.04 = 1,341.74 : x
  2. Step 2: Convert to fraction form
    5,237.48/7,856.04 = 1,341.74/x
  3. Step 3: Cross multiply
    5,237.48x = 7,856.04 × 1,341.74
  4. Step 4: Simplify right side
    5,237.48x = 10,540,763.11
  5. Step 5: Solve for x
    x = 10,540,763.11/5,237.48
  6. Step 6: Final answer
    x = 2,012.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.